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XAT 2018 — QA & DI Question 8

Basics of TSD/ProportinalityEasy

Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).

Answer & solution

  • 1 : 1

  • B

    1 : 2

  • C

    2 : 3

  • D

    2 : 1

  • E

    None of the above

Solution

The person usually walks at V1 for 30 minutes. 

∴ Distance travelled = 30V1.

Now the person travels for 10 minutes. Distance remaining after this = 30V1 – 10V1 = 20V1

This remaining distance is covered by him at V2 in 30 minutes. 

⇒ V2 = 20V1/30 = 2V1/3

∴ His average speed for the entire journey = 30V1/45 = 2V1/3

Now, 

V2 : Average speed = 2V1/3 : 2V1/3 = 1 : 1

Hence, option (a).

XAT 2018 QA & DI Q8: Every day a person walks at a constant speed, V 1 for 30 minutes. On a particular day, after walking for 10 mi — Solution | TheCATExam